The problem of thermally activated escape over a potential barrier is solved by means of path integrals for one-dimensional reaction dynamics with very general time dependences. For a suitably chosen but still quite simple static potential landscape, the net escape rate may be substantially reduced by temporally increasing the temperature above its unperturbed constant level.
@article{arxiv.0909.1510,
title = {Suppression of thermally activated escape by heating},
author = {Sebastian Getfert and Peter Reimann},
journal= {arXiv preprint arXiv:0909.1510},
year = {2009}
}